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Journal of the Acoustical Society of America / Volume 122 / Issue 1 / NOISE: ITS EFFECTS AND CONTROL [50]

A multiple degree of freedom electromechanical Helmholtz resonator a

a Preliminary portions of this work were presented in “A tunable electromechanical Helmholtz resonator,” AIAA Paper 2003-3145, at the 9th AIAA/CEAS Aeroacoustics Conference and Exhibit, Hilton Head, South Carolina, May 2003 and “A transfer matrix formulation of an electromechanical Helmholtz resonator,” at ASA Fall Meeting, Minneapolis, Minnesota, 17–21 October 2005.

J. Acoust. Soc. Am. Volume 122, Issue 1, pp. 291-301 (2007); (11 pages)

Fei Liu1, Stephen Horowitz1, Toshikazu Nishida2, Louis Cattafesta1, and Mark Sheplak1

1Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, Florida 32611-6250
2Department of Electrical and Computer Engineering, University of Florida, Gainesville, Florida 32611-6130

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The development of a tunable, multiple degree of freedom (MDOF) electromechanical Helmholtz resonator (EMHR) is presented. An EMHR consists of an orifice, backing cavity, and a compliant piezoelectric composite diaphragm. Electromechanical tuning of the acoustic impedance is achieved via passive electrical networks shunted across the piezoceramic. For resistive and capacitive loads, the EMHR is a 2DOF system possessing one acoustic and one mechanical DOF. When inductive ladder networks are employed, multiple electrical DOF are added. The dynamics of the multi-energy domain system are modeled using lumped elements and are represented in an equivalent electrical circuit, which is used to analyze the tunable acoustic input impedance of the EMHR. The two-microphone method is used to measure the acoustic impedance of two EMHR designs with a variety of resistive, capacitive, and inductive shunts. For the first design, the data demonstrate that the tuning range of the second resonant frequency for an EMHR with non-inductive shunts is limited by short- and open-circuit conditions, while an inductive shunt results in a 3DOF system possessing an enhanced tuning range. The second design achieves stronger coupling between the Helmholtz resonator and the piezoelectric backplate, and both resonant frequencies can be tuned with different non-inductive loads.

© 2007 Acoustical Society of America

ACKNOWLEDGMENTS

Financial support for this project was provided by NASA Langley Research Center (Grant No. NAG-1-2261), monitored by Michael G. Jones.

Article Outline

  1. INTRODUCTION
  2. LUMPED ELEMENT MODEL AND EQUIVALENT CIRCUIT REPRESENTATION
  3. EQUIVALENT CIRCUIT MODEL ANALYSIS
    1. Acoustic input impedance of the EMHR
    2. Capacitive tuning of the EMHR
    3. Inductive tuning of the EMHR
  4. MODEL PARAMETER ESTIMATION
  5. EXPERIMENTAL SETUP
  6. EXPERIMENTAL RESULTS AND DISCUSSION
  7. CONCLUSIONS AND FUTURE WORK

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KEYWORDS and PACS

Keywords

acoustic resonators, crystal resonators, acoustic impedance, acoustic variables measurement

PACS

  • 43.50.Gf

    Noise control at source: redesign, application of absorptive materials and reactive elements, mufflers, noise silencers, noise barriers, and attenuators, etc.

  • 43.38.Fx

    Piezoelectric and ferroelectric transducers

  • 43.58.Bh

    Acoustic impedance measurement

  • 43.55.Ev

    Sound absorption properties of materials: theory and measurement of sound absorption coefficients; acoustic impedance and admittance

ARTICLE DATA

History
Received 14 Mar 2007
Accepted 04 Apr 2007
Revised 29 Mar 2007
Permalink
http://dx.doi.org/10.1121/1.2735116

PUBLICATION DATA

ISSN:

0001-4966 (print)  

Publisher:

$abstract.society.value is a Member of CrossRef Acoustical Society of America

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